\documentclass[UTF8, a4paper, 12pt]{ctexart}
\usepackage{amsmath, amsthm, amsfonts} % depended by \DeclareMathOperator, \newtheorem, \proof, \mathbb
\usepackage{mathrsfs} % for mathscr
\usepackage[utf8]{inputenc} % utf8 encoding
\usepackage{listings} % for lst in color box
\usepackage[most]{tcolorbox} % for messageshell colorbox
\usepackage{algorithm} % depended by algpseudocode

\usepackage{hyperref} % add clickable link to tableofcontents
\usepackage{enumitem} % use enumerate
\usepackage{float} % for [H] label in figures

\usepackage{fancyhdr} % add header and footer
\pagestyle{fancy}
\fancyhf{}
\rhead{\leftmark}
\cfoot{\thepage}

\usepackage{geometry} % set margin
\geometry{left=3cm, right=2.5cm, top=2.5cm, bottom=2.5cm}

\makeatletter
\def\primeenum#1{\expandafter\@mynumbering\csname c@#1\endcsname}
\def\@mynumbering#1{
  \ifcase#1
  \or
  2\or 5\or 6\or 7\or 9\or 14\or 19\or 20\or 25\or 27\else\@ctrerr\fi
}
\AddEnumerateCounter*{\myenum}{\@mynumbering}{100}
\makeatother

\title{作业1}
\date{}
\author{名字(学号)}

\begin{document}

\maketitle

\begin{enumerate}[label={\myenum*.}]
    \item 证明：
    \item 证明：
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    \item 证明：
    \item 证明：
    \item 证明：
    \item 证明：
    \item 证明：
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    \item 证明：
\end{enumerate}

\end{document}
